Let f(x, y) = ax + bx + cy + xy. Find non-zero values of a, b and c so that (1, 1) is a saddle point of f. Clearly show your work of finding a, b and c. Then, check your work by starting with the function with your values of a, b and c plugged in and show (1, 1) is a saddle point.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f(x, y) = ax² + bx + cy² + xy. Find non-zero values of a, b and c so that (1, 1)
is a saddle point of f. Clearly show your work of finding a, b and c. Then, check
your work by starting with the function with your values of a, b and c plugged in
and show (1, 1) is a saddle point.
Transcribed Image Text:Let f(x, y) = ax² + bx + cy² + xy. Find non-zero values of a, b and c so that (1, 1) is a saddle point of f. Clearly show your work of finding a, b and c. Then, check your work by starting with the function with your values of a, b and c plugged in and show (1, 1) is a saddle point.
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